Generate a Recursive Average Series in Python

Program Overview

This Python program generates a number series where:
- The first term is fixed as 1
- The second term is entered by the user
- From the third term onward, each term is the average of the two previous terms
The program displays the first n terms of the series.

Python Code:

n = int(input("Enter number of terms to display: "))
second = float(input("Enter the second term: "))

series = [1, second]

for i in range(2, n):
    next_term = (series[i - 1] + series[i - 2]) / 2
    series.append(next_term)

print("Generated series:")
for i, value in enumerate(series):
    print(f"Term {i + 1}: {value}")

Sample Output:

Enter number of terms to display: 6  
Enter the second term: 5  

Generated series:  
Term 1: 1.0  
Term 2: 5.0  
Term 3: 3.0  
Term 4: 4.0  
Term 5: 3.5  
Term 6: 3.75

Step-by-Step Explanation:

- The first term is fixed as 1
- The second term is entered manually
- From the third term onward, each term is calculated as the average of the previous two
- The series is stored in a list and printed term by term